dc.creator | Escassut, Alain | |
dc.date | 2021-04-14 | |
dc.date.accessioned | 2021-08-17T20:35:27Z | |
dc.date.available | 2021-08-17T20:35:27Z | |
dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2607 | |
dc.identifier | 10.4067/S0719-06462021000100161 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/174250 | |
dc.description | Let IK be a complete ultrametric field and let \(A\) be a unital commutative ultrametric Banach IK-algebra. Suppose that the multiplicative spectrum admits a partition in two open closed subsets.
Then there exist unique idempotents \(u,\ v\in A\) such that \(\phi(u)=1, \ \phi(v)=0 \ \forall \phi \in U, \ \phi(u)=0 \ \phi(v)=1 \ \forall \phi \in V\). Suppose that IK is algebraically closed. If an element \(x\in A\) has an empty annulus \(r<|\xi-a|<s\) in its spectrum \(sp(x)\), then there exist unique idempotents \(u,\ v\) such that \(\phi(u)=1, \ \phi(v)=0\) whenever \( \phi(x-a)\leq r\) and \(\phi(u)=0, \ \phi(v)=1\) whenever \(\phi(x-a)\geq s\). | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2607/2058 | |
dc.rights | Copyright (c) 2021 A. Escassut | en-US |
dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 23 No. 1 (2021); 161–170 | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 23 Núm. 1 (2021); 161–170 | es-ES |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.subject | ultrametric Banach algebras | en-US |
dc.subject | multiplicative semi-norms | en-US |
dc.subject | idempotents | en-US |
dc.subject | affinoid algebras | en-US |
dc.title | Idempotents in an ultrametric Banach algebra | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |